Question

Rationalise the denominator of 1/(2-√3).​

Answer 1

Answer:

2+√3

Step-by-step explanation:

$\frac{1}{2 - \sqrt{3} } \\ \frac{1 }{2 - \sqrt{3} } \times \frac{ 2 + \sqrt{3} }{2 + \sqrt{3} } \\ \frac{2 + \sqrt{3 } }{ {2}^{2} - { \sqrt{3} }^{2} } \\ \frac{2 + \sqrt{3} }{1} \\ = 2 + \sqrt{3}$